Bifurcation control of Fitzhugh-Nagumo models

Reşat Özgür Doruk; Hamza Ihnısh

Bifurcation control of Fitzhugh-Nagumo models

Öz

A theoretical bifurcation control strategy is presented for a single Fitzhugh-Nagumo (FN) type neuron. The bifurcation conditions are tracked for varying parameters of the individual FN neurons. A MATLAB package called as MATCONT is utilized for this purpose and all parameters of the neuron is analyzed one-by-one. Analysis by MATCONT revealed five Hopf (H) and one Limit-Point/Saddle Point (LP) bifurcation. The Hopf type of bifurcations are controlled by a washout filter supported by projective control theory. Washout filters are designed as first and second order. First order washout filter which is also physically applicable appeared to be more advantageous than the second order version. It appeared that, the LP case could not be stabilized by the aid of a washout filter. To solve this issue, a nonlinear controller is proposed. The only drawback associated with that is its inability to keep the original equilibrium point. Simulations are also provided to validate the research done.

Anahtar Kelimeler

Fitzhugh-Nagumo neurons,Bifurcation; Washout filter; Projective control; Nonlinear control

Kaynakça

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Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Reşat Özgür Doruk

Hamza Ihnısh Bu kişi benim

Yayımlanma Tarihi

5 Ekim 2018

Gönderilme Tarihi

10 Kasım 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2018 Cilt: 22

IZ

https://izlik.org/JA24RH33ZF

Kaynak Göster

RIS / Bibtex

APA

Doruk, R. Ö., & Ihnısh, H. (2018). Bifurcation control of Fitzhugh-Nagumo models. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, 375-391. https://izlik.org/JA24RH33ZF

AMA

1.Doruk RÖ, Ihnısh H. Bifurcation control of Fitzhugh-Nagumo models. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2018;22:375-391. https://izlik.org/JA24RH33ZF

Chicago

Doruk, Reşat Özgür, ve Hamza Ihnısh. 2018. “Bifurcation control of Fitzhugh-Nagumo models”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (Ekim): 375-91. https://izlik.org/JA24RH33ZF.

EndNote

Doruk RÖ, Ihnısh H (01 Ekim 2018) Bifurcation control of Fitzhugh-Nagumo models. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 375–391.

IEEE

[1]R. Ö. Doruk ve H. Ihnısh, “Bifurcation control of Fitzhugh-Nagumo models”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 22, ss. 375–391, Eki. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA24RH33ZF

ISNAD

Doruk, Reşat Özgür - Ihnısh, Hamza. “Bifurcation control of Fitzhugh-Nagumo models”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (01 Ekim 2018): 375-391. https://izlik.org/JA24RH33ZF.

JAMA

1.Doruk RÖ, Ihnısh H. Bifurcation control of Fitzhugh-Nagumo models. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2018;22:375–391.

MLA

Doruk, Reşat Özgür, ve Hamza Ihnısh. “Bifurcation control of Fitzhugh-Nagumo models”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 22, Ekim 2018, ss. 375-91, https://izlik.org/JA24RH33ZF.

Vancouver

1.Reşat Özgür Doruk, Hamza Ihnısh. Bifurcation control of Fitzhugh-Nagumo models. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. [Internet]. 01 Ekim 2018;22:375-91. Erişim adresi: https://izlik.org/JA24RH33ZF